Finding the Third Proportional to 1,179.56 and 1,648.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.56 : 1,648.78 = 1,648.78 : x
2. Step 2: Convert to fraction form
   1,179.56/1,648.78 = 1,648.78/x
3. Step 3: Cross multiply
   1,179.56x = 1,648.78 × 1,648.78
4. Step 4: Simplify right side
   1,179.56x = 2,718,479.61
5. Step 5: Solve for x
   x = 2,718,479.61/1,179.56
6. Step 6: Final answer
   x = 2,304.65